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A triangle has a 90° angle, and the other two interior angles are congruent. Explain how to find the measure of one of the two congruent angles.

will mark brainlest!!! 20 pts!!!!!

Respuesta :

Answer:

45 degrees

Step-by-step explanation:

Think of it like this the sum of the angles in a triangle are the always the same 180 degrees.

So now, we do 180 - 90 = 90 this is the sum of the other angles.

We shall assume that they are the same and divide 90/2 = 45 degrees each

Ok here are some things to understand while solving!

  • If three sides of one triangle are equal to three sides of another triangle, the triangles are congruent.
  • If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent.
  • If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
  • If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
  • If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
  • Without knowing at least one side, we can't be sure if two triangles are congruent. (which we do!)

Hope this helped!

Study hard!

IndigoBlossom

Answer:

Sample Explanation: The sum of the measure of the interior angles of a triangle is 180°. If x represents the measure of one of the congruent interior angles, then 2x + 90 =180 represents the sum of the measures of all the angles. Solve the equation and x = 45°.

Have a good day! Hope this helps! I couldn't find a way to explain it so sorry. You may change some words in this just so it doesn't look like you cheated

Have a fantastic day and God Bless You!

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